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Finding the Fourth Proportional to 225,886.83, 311,733.01 and 135,224.74

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Solution

The fourth proportional to 225,886.83, 311,733.01 and 135,224.74 is: 186,615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,886.83 : 311,733.01 = 135,224.74 : x
  2. Step 2: Convert to fraction form
    225,886.83/311,733.01 = 135,224.74/x
  3. Step 3: Cross multiply
    225,886.83x = 311,733.01 × 135,224.74
  4. Step 4: Simplify right side
    225,886.83x = 42,154,015,024.73
  5. Step 5: Solve for x
    x = 42,154,015,024.73/225,886.83
  6. Step 6: Final answer
    x = 186,615.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.